CODE 84327 ACADEMIC YEAR 2016/2017 CREDITS 15 cfu anno 2 MATEMATICA 8760 (L-35) - SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italiano TEACHING LOCATION MODULES Questo insegnamento è composto da: GEOMETRY 1 GEOMETRY 2 TEACHING MATERIALS AULAWEB AIMS AND CONTENT SYLLABUS/CONTENT Topological spaces, metric spaces and continuous maps: definitions, general properties, examples. Subspaces. Finite products of topological spaces. Quotient topological spaces: examples (projective spaces, spheres, tori,...). Hausdorff spaces. Connected spaces and path-connected spaces, compact spaces, examples: relation with some concepts of Analysis. The theorem of Tychonoff. Locally compact spaces and the compactification theorem of Alexandroff. Locally connected spaces. Complete metric spaces. Urysohn's lemma and Urysohn's metrizability theorem. Tietze's extension theorem. Baire spaces. Homotopy of maps. Retractions and deformations. The fundamental group and simply connected spaces. Examples. Some slementary methods to compute the fundamental group. The fundamental group of spheres and some other spaces. TEACHERS AND EXAM BOARD STEFANO VIGNI ETTORE GIOVANNI CARLETTI MATTEO PENEGINI Exam Board ETTORE GIOVANNI CARLETTI (President) STEFANO VIGNI (President) MATTEO PENEGINI LESSONS LESSONS START First Semester: September 26, 2016 Second Semester: February 27, 2017 Class schedule GEOMETRY EXAMS Exam schedule Data appello Orario Luogo Degree type Note Subject 20/06/2017 10:00 GENOVA Scritto 22/06/2017 10:00 GENOVA Orale 10/07/2017 10:00 GENOVA Scritto 12/07/2017 10:00 GENOVA Orale 06/09/2017 10:00 GENOVA Scritto 08/09/2017 10:00 GENOVA Orale 20/06/2017 10:00 GENOVA Scritto 22/06/2017 10:00 GENOVA Orale 10/07/2017 10:00 GENOVA Scritto 12/07/2017 10:00 GENOVA Orale 06/09/2017 10:00 GENOVA Scritto 08/09/2017 10:00 GENOVA Orale
